Question

What is the solution to the equation log(4)x–log(4)2 = 2

Answer 1

please thank you

Answer 2

start by using
\[\log(a)-\log(b)=\log(\frac{a}{b})\] to write
\[\log_4(\frac{x}{2})=2\]
then write in equivalent logarithmic form as
\[\frac{x}{2}=4^2\] then solve for \(x\)

Answer 3

you good from there?

Answer 4

how do i know which #s to put where?

Answer 5

not sure what you mean

Answer 6

\[\large \log_b(z)=y\iff z=b^y\] you have
\[\large \log_4(\frac{x}{2})=2\] which means
\[\frac{x}{2}=4^2\]

Answer 7

so it's 32?